Solution set calculation of the Sun-perturbed optimal two-impulse trans-lunar orbits using continuation theory

作     者：Bo-yong He Hong-xin Shen 

作者机构：State Key Laboratory of Astronautic DynamicsXi’an Satellite Control CenterXi’an710043China 

出 版 物：《Astrodynamics》 (航天动力学（英文）)

年 卷 期：2020年第4卷第1期

页      面：75-86页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 

基　　金：This work was supported by the National Natural Science Foundation of China(No.11902362) the National Science and Technology Innovation Special Zone Project 

主　　题：trans-lunar orbit optimization optimal solution set continuation theory Sun-perturbed 

摘      要：The solution set of the Sun-perturbed optimal two-impulse trans-lunar orbit is helpful for overall optimization of the lunar exploration mission.A model for computing the two-impulse trans-lunar orbit,which strictly satisfies the boundary constraints,is *** solution set is computed first with a circular restricted three-body model using a generalized local gradient optimization algorithm and the strategy of design variable initial *** taking the solution set of a circular restricted three-body model as the initial values of the design variables,the Sun-perturbed solution set is calculated based on the dynamic model continuation theory and traversal search methodology.A comparative analysis shows that the fuel cost may be reduced to some extent by considering the Sun’s perturbation and choosing an appropriate transfer ***,there are several optimal two-impulse trans-lunar methods for supporting a lunar mission to select a scenario with a certain ground measurement and to control the time cost.A fitted linear dependence relationship between the Sun’s befitting phase and the trans-lunar duration could thus provide a reference to select a low-fuel-cost trans-lunar injection window in an engineering project.